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102122002102020 = 22355354547588737
BaseRepresentation
bin10111001110000100100001…
…101010001011011100000100
3111101120202201220122022101220
4113032010201222023130010
5101341131330014231040
61001110111120120340
730340033261330665
oct2716044152133404
9441522656568356
10102122002102020
112a5a2774964a4a
12b553b17a660b0
1344ca0a95c6714
141b30a3488d36c
15bc16633cd2d0
hex5ce121a8b704

102122002102020 has 96 divisors (see below), whose sum is σ = 291342566406528. Its totient is φ = 26718177288192.

The previous prime is 102122002101937. The next prime is 102122002102037. The reversal of 102122002102020 is 20201200221201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173165092 + ... + 173753828.

It is an arithmetic number, because the mean of its divisors is an integer number (3034818400068).

Almost surely, 2102122002102020 is an apocalyptic number.

102122002102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122002102020 is an abundant number, since it is smaller than the sum of its proper divisors (189220564304508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102122002102020 is a wasteful number, since it uses less digits than its factorization.

102122002102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643349 (or 643347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102122002102020 its reverse (20201200221201), we get a palindrome (122323202323221).

The spelling of 102122002102020 in words is "one hundred two trillion, one hundred twenty-two billion, two million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 54547 109094 163641 218188 272735 327282 545470 588737 654564 818205 1090940 1177474 1636410 1766211 2354948 2890991 2943685 3272820 3532422 5781982 5887370 7064844 8672973 8831055 11563964 11774740 14454955 17345946 17662110 28909910 31203061 34691892 35324220 43364865 57819820 62406122 86729730 93609183 124812244 156015305 173459460 187218366 312030610 374436732 468045915 624061220 936091830 1872183660 32113837139 64227674278 96341511417 128455348556 160569185695 192683022834 321138371390 385366045668 481707557085 642276742780 963415114170 1702033368367 1926830228340 3404066736734 5106100105101 6808133473468 8510166841835 10212200210202 17020333683670 20424400420404 25530500525505 34040667367340 51061001051010 102122002102020